An hprinciple for algebraic bundles and applications
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 Alexis Aumonier (Cambridge)
 Wednesday 18 October 2023, 16:0017:00
 MR13.
If you have a question about this talk, please contact Oscar RandalWilliams.
A homotopy principle (hprinciple for short) often takes the form of a theorem approximating the topology of a space of solutions of a differential equation via homotopical methods. In this talk, I will describe an hprinciple for sections of algebraic vector bundles on projective complex varieties subject to differential relations. Combined with some algebraic topology, I will show how it can be used to compute parts of the cohomology of various spaces from classical algebraic geometry. Examples include: the locus of smooth hypersurfaces in a very ample linear system, spaces of smooth complete intersections, and spaces of holomorphic maps to projective spaces.
This talk is part of the Differential Geometry and Topology Seminar series.
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